If she wants to, then YES!

If a man wants to work outside the home, that's perfectly fine! If a woman wants to work outside the home, that's also perfectly fine! Let people do what they want to do, REGARDLESS of their gender! As long as they're not physically or mentally harming anyone, then it's fine! There are tons of female breadwinners so it doesn't just have to be men who do the work and work outside the home! Women can work outside the home too!